Vector optimization: Singularities, regularizations

We discuss three scalarizations of the multiobjectie optimization from the point of view of the parametric optimization. We analyze three important aspects:<OrderedList> <ListItem> <ItemNumber>i)</ItemNumber> <ItemContent> What kind of singularities may appear in the different parametrizations </ItemContent> </ListItem> <ListItem> <ItemNumber>ii)</ItemNumber> <ItemContent> Regularizations in the sense of Jongen, Jonker and Twilt, and in the sense of Kojima and Hirabayashi. </ItemContent> </ListItem> <ListItem> <ItemNumber>iii)</ItemNumber> <ItemContent> The Mangasarian-Fromovitz Constraint Qualification for the first parametrization. </ItemContent> </ListItem> </OrderedList> Copyright Physica-Verlag 1998